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Geometry of Four Manifolds by Donaldson, S. K., Kronheimer, P. B. is a nonfiction available to read on EtoBox.

What is Geometry of Four Manifolds about?

<p>The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors present both a thorough treatment of the main lines of these developments in four-manifold topology—notably the definition of new invariants of four-manifolds—and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different strands of the theory are

Who reads Geometry of Four Manifolds?

Author

Donaldson, S. K., Kronheimer, P. B.

Publisher

Clarendon Press ; Oxford University Press

Published

1992

Language

EN

ISBN

9780198502692

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem